Experiment 4 Fourier Optics + - PowerPoint PPT Presentation

Experiment 4 Fourier Optics

+∞ 𝐺 𝑙 𝑦 𝑓 − 𝑗 𝑙 𝑦 𝑦 𝑒𝑙 𝑦 𝑔 𝑦 = −∞ +∞ 𝑔 𝑦 𝑓 + 𝑗 𝑙 𝑦 𝑦 𝑒𝑦 𝐺 𝑙 𝑦 = −∞

𝑙 𝑦 = 𝑛 2 𝜌 Λ 𝑦 y ∞ 𝑔 𝑦 = 𝑏 0 𝑏 𝑛 cos 𝑛 2𝜌 𝑦 + 𝑐 𝑛 sin 𝑛 2𝜌 𝑦 2 + Λ 𝑦 Λ 𝑦 𝑛=1 Λ 𝑦 x

x 𝑔 𝑦 𝑙 = 𝑙 𝑙 𝑦 𝜄 𝑦 z 𝑡𝑗𝑜 𝜄 𝑦 = 𝑙 𝑦 𝑙 = 𝑙 𝑦 2 𝜌 𝜇 0

y 𝑙 𝑦 = 𝑛 2𝜌 Λ 𝑦 𝑡𝑗𝑜 𝜄 𝑦 = 𝑙 𝑦 𝑙 = 𝑙 𝑦 = 𝑛 𝜇 0 2 𝜌 Λ 𝑦 𝜇 0 x y 𝑡𝑗𝑜 𝜄 𝑦 = 𝑙 𝑦 𝑙 = 𝑙 𝑦 = 𝑛 𝜇 0 2 𝜌 Λ 𝑦 𝜇 0 x 𝑡𝑗𝑜 𝜄 𝑧 = 𝑙 𝑧 𝑙 = 𝑙 𝑧 = 𝑜 𝜇 0 2 𝜌 Λ 𝑧 𝜇 0

𝑔 Back focal plane or Fourier plane

𝑔 𝑔 𝑔 𝑔 Expanded Lens # 1 and Lens # 2 collimated laser beam Image plane Fourier plane Object